judgment; connoisseurship; connoisseur
Refers to the ability to judge the quality or authenticity of something, especially in art, antiques, food, or other specialized fields. Can also refer to a person with such expertise.
He is famous as a connoisseur of antiques.
The owner of this shop has a reliable eye for fish.
目利き is a noun for a connoisseur or expert judge of quality, while 目が高い is an adjectival phrase describing someone's discerning eye.
discerning eye; ability to assess value; recognition skills
Compound of 目 (eye) and 利き (effectiveness, from 利く 'to be effective'). Literally 'effective eye,' referring to sharp discernment.